Study Guides
-
1.
Distributing Multiplication over Addition and Subtraction Help
Distributive Property - Multiplication Over Addition and Subtraction Distributing multiplication over addition (and subtraction) and factoring (the opposite of distributing) are extremely important in algebra. The distributive law of ...
Source: McGraw-Hill Professional -
2.
Combination of Like Terms Help
Combining Like Terms Two or more terms are alike if they have the same variables and the exponents (or roots) on those variables are the same: 3 x 2 y and 5 x ...
Source: McGraw-Hill Professional -
3.
Simplifying the Numerator of Fraction Sums or Differences Help
Simplifying the Numerator of Fraction Sums or Differences With the distributive property and the ability to combine like terms, the numerator of fraction sums/differences can be simplified. For now, we will leave the denominators factored. ...
Source: McGraw-Hill Professional -
4.
Factoring Help
Factoring Using the Distributive Property The distributive property, a(b + c) = ab + ac , can be used to factor a quantity from two or more terms. In the formula ab + ac = ...
Source: McGraw-Hill Professional -
5.
Factoring by Grouping Help
Combining Terms as Common Factors Sometimes you can combine two or more terms at a time in such a way that each term has an algebraic expression as a common factor. Examples ...
Source: McGraw-Hill Professional -
6.
Factoring to Reduce Fractions Help
Factor to Reduce Fractions Among factoring’s many uses is in reducing fractions. If the numerator’s terms and the denominator’s terms have common factors, factor them then cancel. It might not be necessary to factor the ...
Source: McGraw-Hill Professional -
7.
More on the Distribution Property—the FOIL Method Help
The Distributive Property Using FOIL The FOIL method helps us to use the distribution property to help expand expressions like ( x + 4)(2 x − 1). The letters in “FOIL” describe the sums and products.
Source: McGraw-Hill Professional -
8.
Factoring Quadratic Polynomials Help
Factoring Quadratic Polynomials in Two Steps We will now work in the opposite direction—factoring. First we will factor quadratic polynomials, expressions of the form ax
Source: McGraw-Hill Professional -
9.
Quadratic Type Expressions Help
Introduction to Quadratic Type Expressions An expression with three terms where the power of the first term is twice that of the second and the third term is a constant is called a quadratic type expression. They factor in the same ...
Source: McGraw-Hill Professional -
10.
Algebra Factoring Practice Test
Review the following concepts if needed: Distributing Multiplication over Addition and Subtraction Help
Source: McGraw-Hill Professional
